FieldengMechanical & Motion
Gear Ratio
Speed ratio through a simple two-gear pair.
Mechanical & Motion
Speed ratio through a simple two-gear pair.
App id: MECH-05. Reference version 1.0.
How to fill it
Fill the inputs. The tool shows the outputs.
On the tool screen, Calc is the working sheet. Presets stores values you reuse. Reference is the formula, assumptions, and provenance below.
Formula
ratio = driven / driver; Nout = Nin × driver / drivenInputs
| Name | Unit |
|---|---|
| Driver teeth | 1 |
| Driven teeth | 1 |
| Input speed | rpm |
| Measured output speed (optional) | rpm |
Outputs
| Name | Unit |
|---|---|
| Output speed (hero result) | rpm |
| Gear ratio (driven:driver) | 1 |
| Speed change | % |
Diagnose
Observations are context. They do not pass or fail a structure. See Diagnose.
| When | Observation | Severity |
|---|---|---|
reduction ≥ 10 | Extreme ratio | caution |
relative > 0.03 | Gear ratio mismatch | caution |
Assumptions
- Tooth counts are whole numbers. Efficiency does not change speed.
Provenance
- Simple spur pair. No slip and no compound trains.